Combining instrumental period evidence regarding equilibrium climate sensitivity with largely independent paleoclimate proxy evidence should enable a more constrained sensitivity estimate to be obtained. Previous, subjective Bayesian approaches involved selection of a prior probability distribution reflecting the investigators’ beliefs about climate sensitivity. Here a recently developed approach employing two different statistical methods—objective Bayesian and frequentist likelihood-ratio—is used to combine instrumental period and paleoclimate evidence based on data presented and assessments made in the IPCC Fifth Assessment Report. Probabilistic estimates from each source of evidence are represented by posterior probability density functions (PDFs) of physically-appropriate form that can be uniquely factored into a likelihood function and a noninformative prior distribution. The three-parameter form is shown accurately to fit a wide range of estimated climate sensitivity PDFs. The likelihood functions relating to the probabilistic estimates from the two sources are multiplicatively combined and a prior is derived that is noninformative for inference from the combined evidence. A posterior PDF that incorporates the evidence from both sources is produced using a single-step approach, which avoids the order-dependency that would arise if Bayesian updating were used. Results are compared with an alternative approach using the frequentist signed root likelihood ratio method. Results from these two methods are effectively identical, and provide a 5–95% range for climate sensitivity of 1.1–4.05 K (median 1.87 K).

Additional Metadata
Keywords AR5, Bayesian updating, Climate sensitivity, Combining evidence, Objective Bayesian, Profile likelihood
Persistent URL dx.doi.org/10.1007/s00382-017-3744-4
Journal Climate Dynamics
Grant This work was funded by the The Netherlands Organisation for Scientific Research (NWO); grant id nwo/617.001.651 - Safe Bayesian Inference: A Theory of Misspecification based on Statistical Learning
Citation
Lewis, N, & Grünwald, P.D. (2017). Objectively combining AR5 instrumental period and paleoclimate climate sensitivity evidence. Climate Dynamics. doi:10.1007/s00382-017-3744-4